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Noise induced bistability in a fluctuating environment

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  • Kudtarkar, Santosh Kumar
  • Dhadwal, Renu

Abstract

Bistability in some systems does not occur at the mean-field level but is induced by noise. In this work, we consider a system which exhibits bistability induced by noise but in the presence of environmental fluctuations. The system can transition between two environmental states at a specified rate. It has absorbing boundaries in one state and can switch between two metastable states in the other. At small values of a system parameter (ϵ), the model exhibits noise-induced switching behaviour and the probability distribution is bimodal which becomes unimodal at large values of ϵ. We calculate the exact eigenvalues and steady-state solutions of the system. We further extend the investigation by calculating the mean switching time between the two metastable states in the small parameter limit and compare its accuracy with simulation results.

Suggested Citation

  • Kudtarkar, Santosh Kumar & Dhadwal, Renu, 2023. "Noise induced bistability in a fluctuating environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    • Handle: RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123001371
    DOI: 10.1016/j.physa.2023.128582
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    References listed on IDEAS

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    1. Remondini, Daniel & Giampieri, Enrico & Bazzani, Armando & Castellani, Gastone & Maritan, Amos, 2013. "Analysis of noise-induced bimodality in a Michaelis–Menten single-step enzymatic cycle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(2), pages 336-342.
    2. Elijah Roberts & Andrew Magis & Julio O Ortiz & Wolfgang Baumeister & Zaida Luthey-Schulten, 2011. "Noise Contributions in an Inducible Genetic Switch: A Whole-Cell Simulation Study," PLOS Computational Biology, Public Library of Science, vol. 7(3), pages 1-21, March.
    3. Timothy S. Gardner & Charles R. Cantor & James J. Collins, 2000. "Construction of a genetic toggle switch in Escherichia coli," Nature, Nature, vol. 403(6767), pages 339-342, January.
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